MICROSCOPIC DERIVATION OF A FRICTIONAL SCHRODINGER EQUATION

A separable coupling between intrinsic and collective degrees of freedom of a nucleus gives rise to frictional and conservative forces on the collective motion. By use of time dependent perturbation theory the total density operator is reduced to a collective one which obeys a Liouville equation. From this we derive a nonlinear collective hamiltonian which contains the frictional and conservative forces and the dispersion caused by the coupling. We also show that an initially pure collective state remains a pure state under a given condition. © 1979.